18 Questions
What does volume refer to in the context of measurements?
The amount of space that an object occupies
How is the volume of a regular solid calculated?
Multiplying its length, width, and thickness
Which unit is commonly used to express the volume of liquid?
Liter
What instrument is typically used to measure the volume of a liquid?
Graduated cylinder
How should you read the volume measurement for clear liquids in a graduated cylinder?
Read the lower meniscus
In which units is the volume of a regular solid typically expressed?
Cubic units like cubic meter or cubic cm
What is the formula to calculate the volume of a regular solid with known length, width, and thickness?
Volume = Length x Width x Thickness
If a cube has an edge length of 5 cm, what is its volume?
125 cm³
A cylindrical container has a radius of 3 cm and a height of 10 cm. What is its volume in milliliters?
282.7 mL
If a rectangular tank is 2 m long, 1.5 m wide and 1 m deep, what is its maximum capacity in liters?
3000 L
An irregular solid displaces 250 mL of water when submerged. What is its volume?
250 mL
A cube has a volume of 64 cm³. What is the length of one of its edges?
4 cm
If a solid object with a mass of 3.5 g has a volume of 2 cc, what is its density?
$1.75$ g/cc
An irregularly shaped object is immersed in 50 mL of water in a graduated cylinder, causing the water level to rise to 58 mL. What is the volume of the object?
8 mL
If an object with a density of 0.8 g/cc is placed in water, what will happen?
It will float
A solid cube with an edge length of 4 cm is immersed in a graduated cylinder containing 100 mL of water. If the new water level reads 124 mL, what is the density of the cube?
$4$ g/cc
A solid sphere with a radius of 3 cm is immersed in a graduated cylinder containing 200 mL of water. If the new water level reads 230 mL, what is the density of the sphere?
$3.6$ g/cc
If an object with a volume of 10 cc and a mass of 25 g is placed in a graduated cylinder containing 150 mL of water, what will be the new water level?
160 mL
Study Notes
Volume of a Regular Solid
- Volume is the amount of space an object occupies.
- Volume of a regular solid is obtained by multiplying its length, width, and thickness.
- Volume is expressed in cubic units (e.g. cubic meter, cubic cm).
Volume of a Liquid
- Liquid volume is measured in cubic meters or liters (L).
- Graduated cylinder is used to measure the volume of a liquid.
- When reading the measurement of a clear liquid, read the lower meniscus.
- When reading the measurement of a colored liquid, read the upper meniscus.
- 1 dm³ = 1 liter (L) and 1 cm³ = 1 milliliter (mL).
Volume of an Irregular Solid
- An irregular solid is one where a dimension cannot be measured in a single straight line.
- The displacement method is used to determine the volume of irregular solids.
- The displacement method involves filling a container with water, putting the object in the container, and catching the overflow to get the volume of the overflow.
Density
- Density is the mass of an object per unit volume.
- Substances differ in their densities, and each substance has a specific density.
- Density is calculated using the formula: D = Mass / Volume (g/cc).
- Materials with a density less than 1 g/cc (density of water) will float on water, and those with a density greater than 1 g/cc will sink.
Test your understanding of calculating the volume of irregular solids using the displacement method. Learn how Archimedes determined the volume of objects by water displacement. Practice calculating volume based on given dimensions of a wooden block.
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